How is a graph not like a manifold?

DOI10.4213/sm9798earXiv2203.10641MaRDI QIDQ6188998

Mikiya Masuda, Grigory Solomadin, Anton A. Ayzenberg

Publication date: 12 January 2024

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.10641

zbMATH Keywords

torus actionGKM theoryinvariant submanifoldhomotopy colimitshomology of posets

Mathematics Subject Classification ID

Partial orders, general (06A06) Equivariant algebraic topology of manifolds (57R91) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Equivariant homology and cohomology in algebraic topology (55N91) Simplicial sets and complexes in algebraic topology (55U10) Equivariant homotopy theory in algebraic topology (55P91) Generalized cohomology and spectral sequences in algebraic topology (55T25) Spectral sequences and homology of fiber spaces in algebraic topology (55R20) Toric topology (57S12)

Cites Work

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• Homotopy colimits - comparison lemmas for combinatorial applications
• Poset fiber theorems
• The group of projectivities and colouring of the facets of a simple polytope
• Toric Topology

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